Decomposition of Convex Figures into Similar Pieces.
Dihedral -tilings of the sphere by rhombi and triangles.
Dihedral f-tilings of the sphere by spherical triangles and equiangular well-centered quadrangles.
Dissections of Regular Polygons into Triangles of Equal Areas.
Distinct equilateral triangle dissections of convex regions
We define a proper triangulation to be a dissection of an integer sided equilateral triangle into smaller, integer sided equilateral triangles such that no point is the vertex of more than three of the smaller triangles. In this paper we establish necessary and sufficient conditions for a proper triangulation of a convex region to exist. Moreover we establish precisely when at least two such equilateral triangle dissections exist. We also provide necessary and sufficient conditions for some convex...
Divisible tilings in the hyperbolic plane.
Domino tilings and products of Fibonacci and Pell numbers.